Study on the influence of stochastic properties of correction terms on the reliability of instantaneous network RTK

Al-Shaery A., Lim S., and Rizos C. (2010). Functional models of ordinary kriging for medium range real-time kinematic positioning based on Virtual Reference Station technique. Proceedings of the 23th International Technical Meeting of the Satellite Division of the Institute of Navigation, ION GNSS 2010, 2513-2521.Search in Google Scholar

Al-Shaery A., Lim S., and Rizos C. (2011). Investigation of different interpolation models used in Network-RTK for the Virtual Reference Station technique. Journal of Global Positioning Systems, 10(2), 136-148.10.5081/jgps.10.2.136Search in Google Scholar

Bartels J. (1957). The technique of scaling indices K and Q of geomagnetic activity. Annales of the International Geophysical Year, 4, 215-226.Search in Google Scholar

Booz-Allen and Hamilton (1996). Second draft for-working group review, proposed European Baseline Radionavigation Plan, appendix b. Technical report, ICAO All- Weather Operations Panel.Search in Google Scholar

Chang X., Yang X., and Zhou T. (2005). MLAMBDA: a modified LAMBDA method for integer least-squares estimation. Journal of Geodesy, 79, 552-565.10.1007/s00190-005-0004-xSearch in Google Scholar

Chen X., Landau H., and Vollath U. (2003). New tools for Network RTK integrity monitoring. Proceedings of the 16th International Technical Meeting of the Satellite Division of the Institute of Navigation, ION GPS/GNSS 2003, 1355-1360.Search in Google Scholar

Counselman C.C. and Abbot R. (1989). Method of resolving radio phase ambiguity in satellite orbit determination. Journal of Geophysical Research, 94(B6), 7058-7064.10.1029/JB094iB06p07058Search in Google Scholar

Dai L., Han S., Wang J., and Rizos C. (2004). Comparison of interpolation algorithms in network-based GPS techniques. Journal of the Institute of Navigation, 50(4), 277-294.10.1002/j.2161-4296.2003.tb00335.xSearch in Google Scholar

Dai L., Wang J., Rizos C., and Han S. (2003). Predicting atmospheric biases for real-time ambiguity resolution in GPS/GLONASS reference station networks. Journal of Geodesy, 76, 617-628.10.1007/s00190-002-0286-1Search in Google Scholar

De Jonge P.J. and Tiberius C.C.J.M. (1996). The LAMBDA method for integer ambiguity estimation: implementation aspects. Technical report, Delft Geodetic Computing Centre, Delft University of Technology.Search in Google Scholar

Euler H.J. and Schaffrin B. (1991). On a measure for the discernability between different ambiguity solutions in static-kinematic GPS mode. IAG Symposia no. 107, Kinematic Systems in Geodesy, Surveying, and Remote Sensing, 285-295.10.1007/978-1-4612-3102-8_26Search in Google Scholar

Fotopoulos G. and Cannon M.E. (2001). An overview of multireference station methods for cm-level positioning. GPS Solutions, 4(3), 1-10. 1610.1007/PL00012849Search in Google Scholar

Gao Y., Li Z., and McLellan J.F. (1997). Carrier phase based regional area differential GPS for decimeter-level positioning and navigation. Proceedings of the 10th International Technical Meeting of the Satellite Division of the Institute of Navigation, ION GPS 1997, 1305-1313.Search in Google Scholar

Geisler I. (2006). Performance improvement of Network RTK positioning. Proceedings of the 2006 National Technical Meeting of The Institute of Navigation, 869-880.Search in Google Scholar

Grejner-Brzezinska D.A., Wielgosz P., Kashani I., Smith D.A., Spencer P.S.J., Robertson D.S., and Mader G.L. (2004). An analysis of the effects of different network-based ionosphere estimation models on rover positioning accuracy. Journal of Global Positioning Systems, 3(1-2), 115-131.10.5081/jgps.3.1.115Search in Google Scholar

Han S. (1997). Quality-control issues relating to instantaneous ambiguity resolution for real-time GPS kinematic positioning. Journal of Geodesy, 71, 351-361.10.1007/s001900050103Search in Google Scholar

Han S. and Rizos C. (1996). GPS network design and error mitigation for real-time continuous array monitoring systems. Proceedings of the 9th International Technical Meeting of the Satellite Division of the Institute of Navigation, ION GPS 1996, 1827-1836.Search in Google Scholar

Han S. and Rizos C. (1997). Instantaneous ambiguity resolution for medium-range GPS kinematic positioning using multiple reference stations. Proceedings of the International Association of Geodesy Symposia, 118, Advances in Positioning and Reference Frames, 283-288.Search in Google Scholar

Hein G.W. (2000). From GPS and GLONASS via EGNOS to Galileo - positioning and navigation in the third millennium. GPS Solutions, 3(4), 39-47.10.1007/PL00012814Search in Google Scholar

Hofmann-Wellenhof B., Lichtenegger H., and Wasle E. (2008). GNSS Global Navigation Satellite Systems: GPS, GLONASS, Galileo & more. Springer-Verlag, Wien.Search in Google Scholar

Lachapelle G. and Alves P. (2002). Multiple reference station approach: overview and current research. Journal of Global Positioning Systems, 1(2), 133-136.10.5081/jgps.1.2.133Search in Google Scholar

Landau H., Chen X., Kipka A., and Vollath U. (2007). Latest developments in Network RTK modeling to support GNSS modernization. Journal of Global Positioning Systems, 6(1), 47-55.10.5081/jgps.6.1.47Search in Google Scholar

Landau H., Vollath U., and Chen X. (2003). Virtual Reference Stations versus broadcast solutions in Network RTK - advantages and limitations. Proceedings of GNSS 2003 The European Navigation Conference, Graz, Austria.Search in Google Scholar

Marel van der H. (1998). Virtual GPS reference stations in the Netherlands. Proceedings of the 11th International Technical Meeting of the Satellite Division of the Institute of Navigation, ION GPS 1998, 49-58.Search in Google Scholar

Musa T.A., Wang J., and Rizos C. (2004). A stochastic modelling method for network-based GPS positioning. European Navigation Conference, ECN GNSS2004.Search in Google Scholar

Musa T.A., Wang J., Rizos C., and Satirapod C. (2003). Stochastic modelling for networkbased GPS positioning. The 6th International Symposium on Satellite Navigation Technology Including Mobile Positioning and Location Serivces, Melbourne, Australia.Search in Google Scholar

Odijk D. (2000). Weighting ionospheric corrections to improve fast GPS positioning over medium distances. Proceedings of the 13th International Technical Meeting of the Satellite Division of the Institute of Navigation, ION GPS 2000, 1113-1123.Search in Google Scholar

Odijk D. (2001). Instantaneous precise GPS positioning under geomegnetic storm conditions. GPS Solutions, 5(2), 29-42.10.1007/PL00012884Search in Google Scholar

Odijk D. (2008). GNSS solutions: mathematical models. Inside GNSS, 3(2), 22-24.Search in Google Scholar

Odijk D., Marel van der H., and Song I. (2000). Precise GPS positioning by applying ionospheric corrections from an active control network. GPS Solutions, 3(3), 49-57. 1710.1007/PL00012804Search in Google Scholar

O’Keefe K., Petovello M., Lachapelle G., and Cannon M.E. (2006). Assessing probability of correct ambiguity resolution in the presence of time-correlated errors. Navigation: Journal of the Institute of Navigation, 53(4), 269-282.10.1002/j.2161-4296.2006.tb00389.xSearch in Google Scholar

Próchniewicz D. (2011). A study on mitigation of the distance-dependent biases in the Network RTK technique. Reports on Geodesy, 90(1), 397-407.Search in Google Scholar

Raquet J.F. (1998). Development of a method for kinematic GPS carrier-phase ambiguity resolution using multiple reference receivers. Ph.D. thesis, The University of Calgary.Search in Google Scholar

Rizos C. (2002). Network RTK research and implementation - a geodetic perspective. Journal of Global Positioning Systems, 1(2), 144-150.10.5081/jgps.1.2.144Search in Google Scholar

Rizos C. and Han S. (2003). Reference station network based RTK systems - concepts and progress. Wuhan University Journal of natural Sciences, 8(2B), 566-574.10.1007/BF02899820Search in Google Scholar

Seeber G. (2003). Satellite Geodesy: foundations, methods, and applications. Walter de Gruyter, Berlin, New York, 2nd completely rev. and extended edition.Search in Google Scholar

Takasu T. and Yasuda A. (2010). Kalman-filter-based integer ambiguity resolution strategy for long-baseline RTK with ionosphere and troposphere estimation. Proceedings of the 23rd International Technical Meeting of the Satellite Division of the Institute of Navigation, ION GNSS 2010, 161-171.Search in Google Scholar

Teunissen P.J.G. (1993). Least squares estimation of the integer GPS ambiguities. Invited lecture, Section IV Theory and Methodology, IAG General Meeting, Beijing.Search in Google Scholar

Teunissen P.J.G. (1995). The least-squares ambiguity decorrelation adjustment: a method for fast GPS integer ambiguity estimation. Journal of Geodesy, 70, 65-82.10.1007/BF00863419Search in Google Scholar

Teunissen P.J.G. (1997). The geometry-free GPS ambiguity search space with a weighted ionosphere. Journal of Geodesy, 71, 730-383.10.1007/s001900050105Search in Google Scholar

Teunissen P.J.G. (1998). Success probability of integer GPS ambiguity rounding and bootstrapping. Journal of Geodesy, 72, 606-612.10.1007/s001900050199Search in Google Scholar

Tiberius C.C.J.M. and De Jonge P.J. (1995). Fast positioning using LAMBDA-method. Proceedings of the 4th International Symposium on Differential Satellite Navigation Systems, DSNS 1995(paper no. 30).Search in Google Scholar

Tiberius C.C.J.M., Jonkman N., and Kenselaar F. (1999). The stochastics of GPS observables. GPS World, 10(2), 49-54.Search in Google Scholar

Tiberius C.C.J.M., Teunissen P.J.G., and De Jonge P.J. (1997). Kinematic GPS: performance and quality control. Int. Symp. on Kinematic Systems in Geodesy, Geomatics & Navigation, Banff, Canada, KIS1997, 289-299.Search in Google Scholar

Verhagen S. (2004). Integer ambiguity validation: an open problem? GPS Solutions, 8, 36-43.10.1007/s10291-004-0087-5Search in Google Scholar

Verhagen S. (2005). The GNSS integer ambiguities: estimation and validation. Ph.D. thesis, Netherlands Geodetic Commission, Delft.10.54419/d0mifgSearch in Google Scholar

Verhagen S., Li B., Teunissen P.J.G., and Tiberius C.C.J.M. (2012). Challenges in ambiguity resolution: biases, weak models, and dimensional curse. Proceedings of 6th ESA Workshop on Satellite Navigation Technologies, NAVITEC 2012, 1-8.10.1109/NAVITEC.2012.6423075Search in Google Scholar

Wang J., Lee H.K., Lee Y.J., Musa T., and Rizos C. (2005). Online stochastic modelling for network-based GPS real-time kinematic positioning. Journal of Global Positioning Systems, 4(1-2), 113-119.10.5081/jgps.4.1.113Search in Google Scholar

Wanninger L. (1995). Enhancing differential GPS using regional ionospheric error models. Bulletin G´eod´esique, 69, 283-291.10.1007/BF00806740Search in Google Scholar

Wanninger L. (2004). Ionospheric disturbance indices for RTK and Network RTK positioning. Proceedings of the 17th International Technical Meeting of the Satellite Division of the Institute of Navigation, ION GNSS 2004, 2849-2854. 18Search in Google Scholar

Wielgosz P., Grejner-Brzezinska D.A., and Kashani I. (2003). Regional ionosphere mapping with kriging and multiquadric methods. Journal of Global Positioning Systems, 2(1), 48-55.10.5081/jgps.2.1.48Search in Google Scholar

Wielgosz P., Kashani I., and Grejner-Brzezinska D. (2005). Analysis of long-range network RTK during a severe ionospheric storm. Journal of Geodesy, 79, 524-53110.1007/s00190-005-0003-ySearch in Google Scholar